No. It is a tool to give investigators a lead or to establish a
motive as a starting point.
I believe you are not very well aquainted with the law
Motive is never a deciding factor in the determination of
murder. Criminal law talks about intention, not motive, and it's
the same all over the world, including US. I can have the motive of
killing you to inherit all your $$, but if I do not have the
intention to kill you, I should not be punished just for my evil
motive alone.
The purpose of lie detector tests, motive assessment etc is to
impute the intention on the accused, it's not to find out the
motive. This is just the tip of the iceberg, there's a whole lot
more stuff about criminal law that you have misinterpreted and
wrongly stated here.
In fact, the judicial system in Singapore is definitely
top-quality, the judgements (besides the 'certain suits') are
cogent and reasoned based on the penal code and precedents. Go read
them before commenting, if you can find anything unjust then come
look for me again.